• 제목/요약/키워드: Coefficient of Skewness

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L-모멘트법에 의한 적정 설계홍수량의 유도 (Derivation of Optimal Design Flood by L-Moments)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 1998년도 학술발표회 발표논문집
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    • pp.318-324
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    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme-value(GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the relative mean and relative absolute error. It was found that design floods derived by the method of L-moments using weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions in view of relative mean and relative absolute error.

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월강우량의 모의발생에 관한 연구 (Study on the Sequential Generation of Monthly Rainfall Amounts)

  • 이근후;류한열
    • 한국농공학회지
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    • 제18권4호
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    • pp.4232-4241
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    • 1976
  • This study was carried out to clarify the stochastic characteristics of monthly rainfalls and to select a proper model for generating the sequential monthly rainfall amounts. The results abtained are as follows: 1. Log-Normal distribution function is the best fit theoretical distribution function to the empirical distribution of monthly rainfall amounts. 2. Seasonal and random components are found to exist in the time series of monthly rainfall amounts and non-stationarity is shown from the correlograms. 3. The Monte Carlo model shows a tendency to underestimate the mean values and standard deviations of monthly rainfall amounts. 4. The 1st order Markov model reproduces means, standard deviations, and coefficient of skewness with an error of ten percent or less. 5. A correlogram derived from the data generated by 1st order Markov model shows the charaterstics of historical data exactly. 6. It is concluded that the 1st order Markov model is superior to the Monte Carlo model in their reproducing ability of stochastic properties of monthly rainfall amounts.

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다영역 모델의 해석을 위한 공간모멘트법의 적용 (Application of the Method of Spatial Moment for Analysis the Multi-Region Model)

  • 이덕주
    • 한국농공학회지
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    • 제42권2호
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    • pp.78-85
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    • 2000
  • The moment equations of the concentration distribution for the multi-region model are derived using the method of moment. The method originally devised by Aris is to obtain the concentration moments satisfying a given PDE (Partial Differential Equation. The method of moment is used to obtain the first five moments (0th to 4to) that satisfy the model PDE. Each moment of the concentration distribution for the model equation is plotted for the dimensionless time and gave similar results except the skewness and the kurtosis. The results of the analysis show the physical meaning of each moment. The comparisons with the number of regions or the global interaction coefficient give a possibility to determine the parameters of the multi-region model with the analytical concepts.

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이산웨이블렛 변환과 신경망을 이용한 변압기 열화상태 진단에 관한 연구 (A Study on Diagnosis of Transformers Aging Sate Using Wavelet Transform and Neural Network)

  • 박재준;송영철;전병훈
    • 한국전기전자재료학회논문지
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    • 제14권1호
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    • pp.84-92
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    • 2001
  • In this papers, we proposed the new method in order to diagnosis aging state of transformers. For wavelet transform, Daubechies filter is used, we can obtain wavelet coefficients which is used to extract feature of statistical parameters (maximum value, average value, dispersion skewness, kurtosis) about each acoustic emission signal. Also, these coefficients are used to identify normal and fault signal of internal partial discharge in transformer. As improved method for classification use neural network. Extracted statistical parameters are input into an back-propagation neural network. The number of neurons of hidden layer are obtained through Result of Cross-Validation. The network, after training, can decide whether the test signal is early aging state, alst aging state or normal state. In quantity analysis, capability of proposed method is superior to compared that of classical method.

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Weibull-3 및 Wakeby 분포모형의 L-모멘트법에 의한 설계갈수량 비교분석 (Comparative Analysis of Deisgn Low Flow by L-moment in the Weibull-3 and Wakeby distributions)

  • 이순혁
    • 한국농공학회지
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    • 제42권3호
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    • pp.45-55
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    • 2000
  • This study was carried out to derive optimal design low flows bythe Weibull-3 and Wakeby distributions for the partial consecutive duration series at seven watersheds along Han. nagdong, Geum Yeongsan and Seomjin river systems. L-coefficient of variation L-skewness and L-kurtosis were calculated by the L-moment ratio respectively. Parameters were estimated by the method of L-Moments with consecutive duration. Design low flows obtained by method of L-Moments using with consecutive duration, Design low flows obtained by method of L-Moments using different methods for plotting positions formulas in the Weibull-3 and Wakeby distributions were compared by the Root Mean Square Errors(RMSE). It has shown that design low flows derived by the method of L-moments using Weivull plotting position formula in Wakeby distribution were much closer to those of the observed data in comparison with those obtained by the methods of L-moments with the different formulas for plotting positions in Weibull-3 distribution from the viewpoint of Root Mean Square Errors.

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A Numerical Study on Solute Transport in Heterogeneous Porous Media

  • Jeong, Woo-Chang;Song, Jai-Woo
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2002년도 학술발표회 논문집(II)
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    • pp.1027-1033
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    • 2002
  • The solute transport in a two-dimensional heterogeneous porous medium is numerically studied by using a random walk particle tracking (RWPT) method. Lognormally isotropic hydraulic conductivity fields are generated by using the turning band methods with mean zero and four different values of standard deviation. The numerical transport experiments are carried out to investigate the large time and spatial effects of the variable pore velocity field on solute plumes. The behavior of the solute plume through numerical simulations is presented in terms of longitudinal and transverse spatial moments: displacement of center-of-mass, plume spread variance and skewness coefficient. It was observed that the dispersive behavior of the solute plume is strongly affected by the degree of heterogeneity in the flow domain.

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Weibull -3 및 Wakeby 분포의 L-모멘크법에 의한 설계갈수량 비교분석 (Comparative Analysis of Design Drought Flow by L-Moment in the Weibull-3 and Wakeby distributions)

  • 이순혁;박종화;맹승진;류경식;지호근
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 1999년도 Proceedings of the 1999 Annual Conference The Korean Society of Agricutural Engineers
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    • pp.531-536
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    • 1999
  • This study was carried out to derive optimal design drought flows by the Weibull-3 and Wakeby distributions for the annual drought flows series at seven watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. L-coefficient of variation , L-skewness and L-kurtosis were calculated by the L-moment ratio respectivley. Parameters were estimated by the Methods o fL-Moments with continuous duration. Design drought flows obtained by Methods of L-Moments using Weibull plotting positions formula in the Weibull-3 and Wakeby distributions were compared by the Relative Mean Errors(RME), Relative Absolute Errors (RAE) and Root Mean Square Errors(RMSE). It has shown that design drought flows by the Wakeby distribution using method of L-moments are much closer to those of the observed data in comparison with those obtained by the Weibull-3 distribution using method of L-moments.

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인천 송도지역 지반정수의 확률분포 추정 (Probability Distribution of Geotechnical Properties of Songdo area in Incheon)

  • 김동휘;김민태;고성권;박정규;이우진
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.1399-1406
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    • 2009
  • Probability distribution of geotechnical properties is very useful information and it is used for evaluating the geotechnical properties itself and calculating probability of failure. In this study, probability distribution of compression index, recompression index, and void ratio are evaluated, and analysis results show that all property distributions satisfy normal and log-normal distribution.

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변환법에 의한 설계홍수량의 유도(II) -비년초과치계열을 중심으로- (Derivation of Design Flood by Transformation Method(II) - On the non-annual exceedance series-)

  • 이순혁;맹승진
    • 한국농공학회지
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    • 제37권5호
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    • pp.111-118
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    • 1995
  • 첨두유량이 연속적으로 발생하므로 인하여 수리구조물의 파괴에 영향을 끼치는 설계홍수량의 추정을 위해 본 연구에서는 제I보에 이어 2차적으로 부분 기간 계열인 금강, 영산강 및 섬진강 수계 6개 유역의 비년 초과치를 중심으로 하여 변환법인 SMEMAX법, 멱변화(Power Transformation) 및 2단계 멱변환(Two Step Power Transformation, TSPT)법에 의해 빈도분포의 정규화를 시도하고 이들에 대한 정규화 효율성의 비교분석과 설계홍수량 유도를 위한 변환법별 적합도 검정을 수행하였다. 왜곡분포의 정규화 시도는 제I보의 결과와 마찬가지로 SMAMAX 및 Power변환법에서는 빈도분포의 정규화가 미흡하였으나 2단계 멱변환법에서는 빈도분포의 만족한 정규화를 기할 수 있었다. 또한 3개 변환법에 의해 유도된 설계홍수량의 비교 분석에서는 3개 방법 모두 재현기간 20년 이내의 설계홍수량이 거의 유사한 결과를 나타내었으며 Kolmogorov-Smirnov Test에 의한 3개 변환법별 적합도검정 결과 2단계 멱변환법이 적정 변환법으로 인정되었다.

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왜곡도 계수를 고려한 GEV 분포의 도시위치공식 유도 (Derivation of Plotting Position Formulas Considering the Coefficients of Skewness for the GEV Distribution)

  • 김수영;허준행;최민영
    • 한국수자원학회논문집
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    • 제44권2호
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    • pp.85-96
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    • 2011
  • 연최대수문량의 도시적 분석에 주로 이용되어 온 확률도시위치는 표본자료와 적정 확률분포형의 적합도를 표시하여 초과확률을 산정할 수 있도록 하며, 일부 적합도 검정에도 사용되기도 한다. 확률도시위치를 결정하는 도시위치공식은 오래 전부터 꾸준히 연구되어 왔는데, 특히 빈도해석에 널리 사용되는 GEV 분포에 대한 연구는 다른 분포형보다 더욱 활발히 이루어져 왔다. 본 연구에서는 GEV 분포에 적합한 도시위치공식을 추정하고자 GEV 분포의 순서통계량의 평균 개념을 이용하여 이론적 축소변량을 유도하였다. 또한 다양한 표본크기와 형상 매개변수와 연관이 있는 왜곡도 계수를 고려한 다양한 형태의 도시위치공식을 적용하고, 유전자 알고리즘을 적용하여 도시위치공식의 매개변수를 추정하였다. 유도된 도시위치공식의 정확성을 알아보기 위해 이론적 축소변량과 금회 유도된 도시위치공식을 포함한 다양한 도시위치공식에 의해 계산되는 축소변량 사이의 오차를 비교하였다. 그 결과, 본 연구에서 제안한 도시위치공식은 GEV 분포의 형상 매개변수가 -0.25~0.10의 범위를 가질 때 이론적 축소변량과 가장 작은 오차를 보이는 것으로 나타났다.